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Petri nets are an established graphical formalism for modeling and analyzing the behavior of systems. An important consideration of the value of Petri nets is their use in describing both the syntax and semantics of modeling formalisms.…

Software Engineering · Computer Science 2018-10-24 Sabah Al-Fedaghi , Dana Shbeeb

Petri nets are a popular formalism for modeling and analyzing distributed systems. Tokens in Petri net models can represent the control flow state or resources produced/consumed by transition firings. We define a resource as a part (a…

Logic in Computer Science · Computer Science 2023-06-22 Irina Lomazova , Vladimir Bashkin , Petr Jančar

In this paper we introduce the notion of spread net. Spread nets are (safe) Petri nets equipped with vector clocks on places and with ticking functions on transitions, and are such that vector clocks are consistent with the ticking of…

Logic in Computer Science · Computer Science 2018-10-19 Eric Fabre , G. Michele Pinna

Network reliability measures the probability that a target node is reachable from a source node in an uncertain graph, i.e., a graph where every edge is associated with a probability of existence. In this paper, we investigate the novel and…

Databases · Computer Science 2020-05-26 Xiangyu Ke , Arijit Khan , Mohammad Al Hasan , Rojin Rezvansangsari

A crucial question in analyzing a concurrent system is to determine its long-run behaviour, and in particular, whether there are irreversible choices in its evolution, leading into parts of the reachability space from which there is no…

Formal Languages and Automata Theory · Computer Science 2024-09-04 Giann Karlo Aguirre Samboni , Stefan Haar , Loic Paulevé , Stefan Schwoon , Nick Würdemann

Petri nets are a modeling formalism capable of describing complex distributed systems and there exists a large number of both academic and industrial tools that enable automatic verification of model properties. Typical questions include…

Logic in Computer Science · Computer Science 2026-01-12 Bruno Maria René Gonzalez , Peter Gjøl Jensen , Stefan Schmid , Jiří Srba , Martin Zimmermann

Classical opacity theory for discrete-event systems relies strictly on observable event sequences, fundamentally failing to capture security breaches in hybrid architectures where an attacker exploits both classical traces and localized…

Logic in Computer Science · Computer Science 2026-04-21 Sichen Ding , Zhiwu Li

Mobile computing systems, service-based systems and some other systems with mobile interacting components have recently received much attention. However, because of their characteristics such as mobility and disconnection, it is difficult…

Software Engineering · Computer Science 2021-11-04 Zhijun Ding , Ru Yang , Puwen Cui , MengChu Zhou , Changjun Jiang

A marked Petri net is lucent if there are no two different reachable markings enabling the same set of transitions, i.e., states are fully characterized by the transitions they enable. This paper explores the class of marked Petri nets that…

Logic in Computer Science · Computer Science 2020-09-10 Wil M. P. van der Aalst

This paper presents a new formal method for verification of quantum communication protocols. By extending the symbolic system of Petri nets, we can define quantum pure states in Petri-net settings. Therefore, it is possible to emerge a…

Quantum Physics · Physics 2017-04-25 Sheng Zhang , Yonghui Ma , Chunning Meng , Haiping Wang

The paper discusses fundamental detectability properties associated with the problem of distributed state estimation using networked observers. The main result of the paper establishes connections between detectability of the plant through…

Systems and Control · Computer Science 2014-01-28 V. Ugrinovskii

Recently introduced Petri net-based formalisms advocate the importance of proper representation and management of case objects as well as their co-evolution. In this work we build on top of one of such formalisms and introduce the notion of…

Logic in Computer Science · Computer Science 2022-01-03 Irina A. Lomazova , Alexey A. Mitsyuk , Andrey Rivkin

Despite the exploding interest in graph neural networks there has been little effort to verify and improve their robustness. This is even more alarming given recent findings showing that they are extremely vulnerable to adversarial attacks…

Machine Learning · Computer Science 2019-12-20 Aleksandar Bojchevski , Stephan Günnemann

We define a new method for taking advantage of net reductions in combination with a SMT-based model checker. Our approach consists in transforming a reachability problem about some Petri net, into the verification of an updated reachability…

Logic in Computer Science · Computer Science 2023-06-22 Nicolas Amat , Bernard Berthomieu , Silvano Dal Zilio

During the last decade, various approaches have been put forward to integrate business processes with different types of data. Each of such approaches reflects specific demands in the whole process-data integration spectrum. One particular…

Artificial Intelligence · Computer Science 2020-06-12 Silvio Ghilardi , Alessandro Gianola , Marco Montali , Andrey Rivkin

Model checking is an important aim of the theoretical computer science. It enables the verification of a model with a set of properties such as liveness, deadlock or safety. One of the typical modelling techniques are Petri nets they are…

Formal Languages and Automata Theory · Computer Science 2014-11-13 Alexander Schulz

A crucial question in analyzing a concurrent system is to determine its long-run behaviour, and in particular, whether there are irreversible choices in its evolution, leading into parts of the reachability space from which there is no…

Formal Languages and Automata Theory · Computer Science 2022-09-22 Giann Karlo Aguirre-Samboní , Stefan Haar , Loïc Paulevé , Stefan Schwoon , Nick Würdemann

A central decision problem in Petri net theory is reachability asking whether a given marking can be reached from the initial marking. Related is the covering problem (or sub-marking reachbility), which decides whether there is a reachable…

Formal Languages and Automata Theory · Computer Science 2026-02-03 Thomas M. Prinz , Christopher T. Schwanen , Wil M. P. van der Aalst

We present the SER modeling language for automatically verifying serializability of concurrent programs, i.e., whether every concurrent execution of the program is equivalent to some serial execution. SER programs are suitably restricted to…

Formal Languages and Automata Theory · Computer Science 2026-01-21 Guy Amir , Mark Barbone , Nicolas Amat , Jules Jacobs

Petri nets proved useful to describe various real-world systems, but many of their properties are very hard to check. To alleviate this difficulty, subclasses are often considered. The class of weighted marked graphs with relaxed place…

Data Structures and Algorithms · Computer Science 2020-05-12 Thomas Hujsa , Bernard Berthomieu , Silvano Dal Zilio , Didier Le Botlan